We develop a formalism which describes sequential two-photon double ionization (TPDI) of a closed-shell atom. We apply this formalism to calculate the angular asymmetry parameters of sequential TPDI of the Ne 2p and Ar 3p valence subshells. Comparison with the latest experimental data is made.
Angular correlations between two emitted photoelectrons in the sequential two-photon double ionization (TPDI) of atoms are theoretically considered. The general expression for the angular correlation function is analysed and some particular geometries of possible experiments are discussed. The concept of true angular correlations is introduced in contrast to the angular dependence of the two-electron emission from two uncorrelated ionization events. The case of a pure LS coupling description of the TPDI is considered in detail and compared with the general case. As an example, calculations of the angular correlation functions are performed and discussed for sequential TPDI from the 4p valence shell of krypton.
We investigate the two-photon double ionization of beryllium atom induced by ultrashort pulses. We use a time-dependent formalism to evaluate the ionization amplitudes and generalized cross sections for the ejection of the 2s2 valence shell electrons in the presence of a fully occupied 1s2 frozen core shell. The relative contributions of the two-photon direct and sequential process are systematically explored by varying both pulse duration and central frequency. The energy and angular differential ionization yields reveal the signatures of both mechanisms, as well as the role of electron correlation in both the single and double ionization continua. In contrast with previous results on the helium atom, the presence of an electronic core strongly affects the final state leading to back-to-back electron emission even in the a priori less correlated two-photon sequential mechanism. In particular, a dominant pathway via excitation ionization through the Be+(2p) determines the profiles and pulse-duration dependencies of the energy and angle differential yields.
Calculated results for angular distribution and angular correlation of electrons produced in the process of two-photon double ionization of Xe are presented. In particular, a peculiar dependence of the angular distribution of the second step electrons on the alignment of the intermediate ionic state is predicted. The angular correlations of the electrons qualitatively depend on the term of the residual double charged ion. The results can be used in ongoing and future experiments with free-electron laser.